Question

Solve the inequality 2(n + 3) - 4 < 6

Answer 1

n < 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Explanation:

Step 1: Define

2(n + 3) - 4 < 6

Step 2: Solve for n

1. [Addition Property of Equality] Add 4 on both sides: 2(n + 3) < 10
2. [Division Property of Equality] Divide 2 on both sides: n + 3 < 5
3. [Subtraction Property of Equality] Subtract 3 on both sides: n < 2

Here we see that any value n smaller than 2 would work as a solution to the inequality.